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        <a href="octant-module.html">Package&nbsp;octant</a> ::
        <a href="octant.extern-module.html">Package&nbsp;extern</a> ::
        Module&nbsp;greatcircle
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<h1 class="epydoc">Source Code for <a href="octant.extern.greatcircle-module.html">Module octant.extern.greatcircle</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">as</tt> <tt class="py-name">NX</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">math</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-name">__version__</tt> <tt class="py-op">=</tt> <tt class="py-string">'1.0.1'</tt> </tt>
<a name="GreatCircle"></a><div id="GreatCircle-def"><a name="L5"></a><tt class="py-lineno">  5</tt> <a class="py-toggle" href="#" id="GreatCircle-toggle" onclick="return toggle('GreatCircle');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="octant.extern.greatcircle.GreatCircle-class.html">GreatCircle</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="GreatCircle-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="GreatCircle-expanded"><a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-docstring">    formula for perfect sphere from Ed Williams' 'Aviation Formulary'</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-docstring">    (http://williams.best.vwh.net/avform.htm)</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-docstring">     </tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-docstring">    code for ellipsoid posted to GMT mailing list by Jim Leven in Dec 1999</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring">    Contact: Jeff Whitaker &lt;jeffrey.s.whitaker@noaa.gov&gt;</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"> </tt>
<a name="GreatCircle.__init__"></a><div id="GreatCircle.__init__-def"><a name="L16"></a><tt class="py-lineno"> 16</tt> <a class="py-toggle" href="#" id="GreatCircle.__init__-toggle" onclick="return toggle('GreatCircle.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.greatcircle.GreatCircle-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt><tt class="py-param">rmajor</tt><tt class="py-op">,</tt><tt class="py-param">rminor</tt><tt class="py-op">,</tt><tt class="py-param">lon1</tt><tt class="py-op">,</tt><tt class="py-param">lat1</tt><tt class="py-op">,</tt><tt class="py-param">lon2</tt><tt class="py-op">,</tt><tt class="py-param">lat2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="GreatCircle.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="GreatCircle.__init__-expanded"><a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring">        Define a great circle by specifying:</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">        rmajor - radius of major axis of ellipsoid</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring">        rminor - radius of minor axis of ellipsoid.</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">        lon1 - starting longitude of great circle</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">        lat1 - starting latitude</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring">        lon2 - ending longitude</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-docstring">        lat2 - ending latitude</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-docstring">        All must be given in degrees.</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-docstring">        Instance variables:</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-docstring">        distance - distance along great circle in radians.</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-docstring">        lon1,lat1,lon2,lat2 - start and end points (in radians).</tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line">        <tt class="py-comment"># convert to radians from degrees.</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">lat1</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-0" class="py-name" targets="Variable octant.ocean.depths.radians=octant.ocean.depths-module.html#radians,Variable octant.ocean.radians=octant.ocean-module.html#radians,Variable octant.ocean.state.radians=octant.ocean.state-module.html#radians,Variable octant.ocean.step3d_t.radians=octant.ocean.step3d_t-module.html#radians,Variable octant.ocean.time.radians=octant.ocean.time-module.html#radians,Variable octant.ocean.velocity.radians=octant.ocean.velocity-module.html#radians"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-0', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lat1</tt><tt class="py-op">)</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line">        <tt class="py-name">lon1</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-1" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-1', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lon1</tt><tt class="py-op">)</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line">        <tt class="py-name">lat2</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-2" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-2', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line">        <tt class="py-name">lon2</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-3" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-3', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">rmajor</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">rmajor</tt><tt class="py-op">-</tt><tt class="py-name">rminor</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">rmajor</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat1</tt> <tt class="py-op">=</tt> <tt class="py-name">lat1</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat2</tt> <tt class="py-op">=</tt> <tt class="py-name">lat2</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon1</tt> <tt class="py-op">=</tt> <tt class="py-name">lon1</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon2</tt> <tt class="py-op">=</tt> <tt class="py-name">lon2</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">        <tt class="py-comment"># distance along geodesic in meters.</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">d</tt><tt class="py-op">,</tt><tt class="py-name">a12</tt><tt class="py-op">,</tt><tt class="py-name">a21</tt> <tt class="py-op">=</tt> <tt id="link-4" class="py-name" targets="Function octant.extern.greatcircle.vinc_dist()=octant.extern.greatcircle-module.html#vinc_dist"><a title="octant.extern.greatcircle.vinc_dist" class="py-name" href="#" onclick="return doclink('link-4', 'vinc_dist', 'link-4');">vinc_dist</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt><tt class="py-op">,</tt>  <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">a</tt><tt class="py-op">,</tt>  <tt class="py-name">lat1</tt><tt class="py-op">,</tt>  <tt class="py-name">lon1</tt><tt class="py-op">,</tt>  <tt class="py-name">lat2</tt><tt class="py-op">,</tt>  <tt class="py-name">lon2</tt> <tt class="py-op">)</tt>  </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">distance</tt> <tt class="py-op">=</tt> <tt class="py-name">d</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">azimuth12</tt> <tt class="py-op">=</tt> <tt class="py-name">a12</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">azimuth21</tt> <tt class="py-op">=</tt> <tt class="py-name">a21</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line">        <tt class="py-comment"># great circle arc-length distance (in radians).</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">gcarclen</tt> <tt class="py-op">=</tt> <tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">asin</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-5" class="py-name" targets="Variable octant.ocean.depths.sqrt=octant.ocean.depths-module.html#sqrt,Variable octant.ocean.sqrt=octant.ocean-module.html#sqrt,Variable octant.ocean.state.sqrt=octant.ocean.state-module.html#sqrt,Variable octant.ocean.step3d_t.sqrt=octant.ocean.step3d_t-module.html#sqrt,Variable octant.ocean.time.sqrt=octant.ocean.time-module.html#sqrt,Variable octant.ocean.velocity.sqrt=octant.ocean.velocity-module.html#sqrt"><a title="octant.ocean.depths.sqrt
octant.ocean.sqrt
octant.ocean.state.sqrt
octant.ocean.step3d_t.sqrt
octant.ocean.time.sqrt
octant.ocean.velocity.sqrt" class="py-name" href="#" onclick="return doclink('link-5', 'sqrt', 'link-5');">sqrt</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-6" class="py-name" targets="Variable octant.ocean.depths.sin=octant.ocean.depths-module.html#sin,Variable octant.ocean.sin=octant.ocean-module.html#sin,Variable octant.ocean.state.sin=octant.ocean.state-module.html#sin,Variable octant.ocean.step3d_t.sin=octant.ocean.step3d_t-module.html#sin,Variable octant.ocean.time.sin=octant.ocean.time-module.html#sin,Variable octant.ocean.velocity.sin=octant.ocean.velocity-module.html#sin"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-6', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">lat1</tt><tt class="py-op">-</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">+</tt>\ </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line">        <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-7" class="py-name" targets="Variable octant.ocean.cos=octant.ocean-module.html#cos,Variable octant.ocean.depths.cos=octant.ocean.depths-module.html#cos,Variable octant.ocean.state.cos=octant.ocean.state-module.html#cos,Variable octant.ocean.step3d_t.cos=octant.ocean.step3d_t-module.html#cos,Variable octant.ocean.time.cos=octant.ocean.time-module.html#cos,Variable octant.ocean.velocity.cos=octant.ocean.velocity-module.html#cos"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-7', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lat1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-8" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-8', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-9" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-9', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">lon1</tt><tt class="py-op">-</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line">        <tt class="py-comment"># check to see if points are antipodal (if so, route is undefined).</tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">gcarclen</tt> <tt class="py-op">==</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-10" class="py-name" targets="Variable octant.ocean.depths.pi=octant.ocean.depths-module.html#pi,Variable octant.ocean.pi=octant.ocean-module.html#pi,Variable octant.ocean.state.pi=octant.ocean.state-module.html#pi,Variable octant.ocean.step3d_t.pi=octant.ocean.step3d_t-module.html#pi,Variable octant.ocean.time.pi=octant.ocean.time-module.html#pi,Variable octant.ocean.velocity.pi=octant.ocean.velocity-module.html#pi"><a title="octant.ocean.depths.pi
octant.ocean.pi
octant.ocean.state.pi
octant.ocean.step3d_t.pi
octant.ocean.time.pi
octant.ocean.velocity.pi" class="py-name" href="#" onclick="return doclink('link-10', 'pi', 'link-10');">pi</a></tt><tt class="py-op">:</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">antipodal</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">antipodal</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt> </tt>
</div><a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line"> </tt>
<a name="GreatCircle.points"></a><div id="GreatCircle.points-def"><a name="L56"></a><tt class="py-lineno"> 56</tt> <a class="py-toggle" href="#" id="GreatCircle.points-toggle" onclick="return toggle('GreatCircle.points');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.greatcircle.GreatCircle-class.html#points">points</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt><tt class="py-param">npoints</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="GreatCircle.points-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="GreatCircle.points-expanded"><a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">        compute arrays of npoints equally spaced</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring">        intermediate points along the great circle.</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"><tt class="py-docstring">        input parameter npoints is the number of points</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line"><tt class="py-docstring">        to compute.</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring">        Returns lons, lats (lists with longitudes and latitudes</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring">        of intermediate points in degrees).</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring">        For example npoints=10 will return arrays lons,lats of 10</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring">        equally spaced points along the great circle.</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line">        <tt class="py-comment"># must ask for at least 2 points.</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">if</tt> <tt class="py-name">npoints</tt> <tt class="py-op">&lt;=</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt><tt class="py-string">'npoints must be greater than 1'</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">npoints</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-11" class="py-name" targets="Variable octant.ocean.degrees=octant.ocean-module.html#degrees,Variable octant.ocean.depths.degrees=octant.ocean.depths-module.html#degrees,Variable octant.ocean.state.degrees=octant.ocean.state-module.html#degrees,Variable octant.ocean.step3d_t.degrees=octant.ocean.step3d_t-module.html#degrees,Variable octant.ocean.time.degrees=octant.ocean.time-module.html#degrees,Variable octant.ocean.velocity.degrees=octant.ocean.velocity-module.html#degrees"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-11', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-12" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-12', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-op">[</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-13" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-13', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-14" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-14', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">        <tt class="py-comment"># can't do it if endpoints are antipodal, since</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-comment"># route is undefined.</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">antipodal</tt><tt class="py-op">:</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt><tt class="py-string">'cannot compute intermediate points on a great circle whose endpoints are antipodal'</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">        <tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">gcarclen</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">        <tt class="py-name">delta</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">npoints</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">        <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">delta</tt><tt class="py-op">*</tt><tt class="py-name">NX</tt><tt class="py-op">.</tt><tt class="py-name">arange</tt><tt class="py-op">(</tt><tt class="py-name">npoints</tt><tt class="py-op">)</tt> <tt class="py-comment"># f=0 is point 1, f=1 is point 2.</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">        <tt class="py-name">incdist</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">distance</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">npoints</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">        <tt class="py-name">lat1</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat1</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">        <tt class="py-name">lat2</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat2</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line">        <tt class="py-name">lon1</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon1</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">        <tt class="py-name">lon2</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon2</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">        <tt class="py-comment"># perfect sphere, use great circle formula</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt> <tt class="py-op">==</tt> <tt class="py-number">0.</tt><tt class="py-op">:</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">            <tt class="py-name">A</tt> <tt class="py-op">=</tt> <tt class="py-name">NX</tt><tt class="py-op">.</tt><tt id="link-15" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-15', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">f</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">d</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-16" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-16', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">d</tt><tt class="py-op">)</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">            <tt class="py-name">B</tt> <tt class="py-op">=</tt> <tt class="py-name">NX</tt><tt class="py-op">.</tt><tt id="link-17" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-17', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">*</tt><tt class="py-name">d</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-18" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-18', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">d</tt><tt class="py-op">)</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">            <tt id="link-19" class="py-name" targets="Variable octant.grid.BoundaryInteractor.x=octant.grid.BoundaryInteractor-class.html#x,Variable octant.grid.CGrid.x=octant.grid.CGrid-class.html#x"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-19', 'x', 'link-19');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">A</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-20" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-20', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lat1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-21" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-21', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lon1</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-name">B</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-22" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-22', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-23" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-23', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">            <tt id="link-24" class="py-name" targets="Variable octant.grid.BoundaryInteractor.y=octant.grid.BoundaryInteractor-class.html#y,Variable octant.grid.CGrid.y=octant.grid.CGrid-class.html#y"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-24', 'y', 'link-24');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">A</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-25" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-25', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lat1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-26" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-26', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lon1</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-name">B</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-27" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-27', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-28" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-28', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">            <tt class="py-name">z</tt> <tt class="py-op">=</tt> <tt class="py-name">A</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-29" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-29', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lat1</tt><tt class="py-op">)</tt>               <tt class="py-op">+</tt><tt class="py-name">B</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-30" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-30', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">            <tt class="py-name">lats</tt><tt class="py-op">=</tt><tt class="py-name">NX</tt><tt class="py-op">.</tt><tt id="link-31" class="py-name" targets="Variable octant.ocean.arctan2=octant.ocean-module.html#arctan2,Variable octant.ocean.depths.arctan2=octant.ocean.depths-module.html#arctan2,Variable octant.ocean.state.arctan2=octant.ocean.state-module.html#arctan2,Variable octant.ocean.step3d_t.arctan2=octant.ocean.step3d_t-module.html#arctan2,Variable octant.ocean.time.arctan2=octant.ocean.time-module.html#arctan2,Variable octant.ocean.velocity.arctan2=octant.ocean.velocity-module.html#arctan2"><a title="octant.ocean.arctan2
octant.ocean.depths.arctan2
octant.ocean.state.arctan2
octant.ocean.step3d_t.arctan2
octant.ocean.time.arctan2
octant.ocean.velocity.arctan2" class="py-name" href="#" onclick="return doclink('link-31', 'arctan2', 'link-31');">arctan2</a></tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">,</tt><tt class="py-name">NX</tt><tt class="py-op">.</tt><tt id="link-32" class="py-name"><a title="octant.ocean.depths.sqrt
octant.ocean.sqrt
octant.ocean.state.sqrt
octant.ocean.step3d_t.sqrt
octant.ocean.time.sqrt
octant.ocean.velocity.sqrt" class="py-name" href="#" onclick="return doclink('link-32', 'sqrt', 'link-5');">sqrt</a></tt><tt class="py-op">(</tt><tt id="link-33" class="py-name"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-33', 'x', 'link-19');">x</a></tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">+</tt><tt id="link-34" class="py-name"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-34', 'y', 'link-24');">y</a></tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">            <tt class="py-name">lons</tt><tt class="py-op">=</tt><tt class="py-name">NX</tt><tt class="py-op">.</tt><tt id="link-35" class="py-name"><a title="octant.ocean.arctan2
octant.ocean.depths.arctan2
octant.ocean.state.arctan2
octant.ocean.step3d_t.arctan2
octant.ocean.time.arctan2
octant.ocean.velocity.arctan2" class="py-name" href="#" onclick="return doclink('link-35', 'arctan2', 'link-31');">arctan2</a></tt><tt class="py-op">(</tt><tt id="link-36" class="py-name"><a title="octant.grid.BoundaryInteractor.y
octant.grid.CGrid.y" class="py-name" href="#" onclick="return doclink('link-36', 'y', 'link-24');">y</a></tt><tt class="py-op">,</tt><tt id="link-37" class="py-name"><a title="octant.grid.BoundaryInteractor.x
octant.grid.CGrid.x" class="py-name" href="#" onclick="return doclink('link-37', 'x', 'link-19');">x</a></tt><tt class="py-op">)</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line">            <tt class="py-name">lons</tt> <tt class="py-op">=</tt> <tt class="py-name">map</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-38" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-38', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">,</tt><tt class="py-name">lons</tt><tt class="py-op">.</tt><tt class="py-name">tolist</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">            <tt class="py-name">lats</tt> <tt class="py-op">=</tt> <tt class="py-name">map</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-39" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-39', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">,</tt><tt class="py-name">lats</tt><tt class="py-op">.</tt><tt class="py-name">tolist</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line">        <tt class="py-comment"># use ellipsoid formulas</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">            <tt class="py-name">latpt</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat1</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">            <tt class="py-name">lonpt</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon1</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">            <tt class="py-name">azimuth</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">azimuth12</tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">            <tt class="py-name">lons</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-40" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-40', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">lonpt</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line">            <tt class="py-name">lats</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-41" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-41', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">latpt</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line">            <tt class="py-keyword">for</tt> <tt class="py-name">n</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">npoints</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line">                <tt class="py-name">latptnew</tt><tt class="py-op">,</tt><tt class="py-name">lonptnew</tt><tt class="py-op">,</tt><tt class="py-name">alpha21</tt><tt class="py-op">=</tt><tt id="link-42" class="py-name" targets="Function octant.extern.greatcircle.vinc_pt()=octant.extern.greatcircle-module.html#vinc_pt"><a title="octant.extern.greatcircle.vinc_pt" class="py-name" href="#" onclick="return doclink('link-42', 'vinc_pt', 'link-42');">vinc_pt</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt><tt class="py-op">,</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">a</tt><tt class="py-op">,</tt><tt class="py-name">latpt</tt><tt class="py-op">,</tt><tt class="py-name">lonpt</tt><tt class="py-op">,</tt><tt class="py-name">azimuth</tt><tt class="py-op">,</tt><tt class="py-name">incdist</tt><tt class="py-op">)</tt>  </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line">                <tt class="py-name">d</tt><tt class="py-op">,</tt><tt class="py-name">azimuth</tt><tt class="py-op">,</tt><tt class="py-name">a21</tt><tt class="py-op">=</tt><tt id="link-43" class="py-name"><a title="octant.extern.greatcircle.vinc_dist" class="py-name" href="#" onclick="return doclink('link-43', 'vinc_dist', 'link-4');">vinc_dist</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt><tt class="py-op">,</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">a</tt><tt class="py-op">,</tt><tt class="py-name">latptnew</tt><tt class="py-op">,</tt><tt class="py-name">lonptnew</tt><tt class="py-op">,</tt><tt class="py-name">lat2</tt><tt class="py-op">,</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt>  </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">                <tt class="py-name">lats</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-44" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-44', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">latptnew</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">                <tt class="py-name">lons</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-45" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-45', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">lonptnew</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line">                <tt class="py-name">latpt</tt> <tt class="py-op">=</tt> <tt class="py-name">latptnew</tt><tt class="py-op">;</tt> <tt class="py-name">lonpt</tt> <tt class="py-op">=</tt> <tt class="py-name">lonptnew</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line">            <tt class="py-name">lons</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-46" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-46', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lon2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">            <tt class="py-name">lats</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-47" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-47', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">lons</tt><tt class="py-op">,</tt><tt class="py-name">lats</tt> </tt>
</div></div><a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># --------------------------------------------------------------------- </tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                    |</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |     geodetic.py -  a collection of geodetic functions              |</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                    |</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># --------------------------------------------------------------------- </tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># ----------------------------------------------------------------------</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | Algrothims from Geocentric Datum of Australia Technical Manual      |</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | http://www.anzlic.org.au/icsm/gdatum/chapter4.html                  |</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | This page last updated 11 May 1999                                  |</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | Computations on the Ellipsoid                                       |</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | There are a number of formulae that are available                   |</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | to calculate accurate geodetic positions,                           |</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | azimuths and distances on the ellipsoid.                            |</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | Vincenty's formulae (Vincenty, 1975) may be used                    |</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | for lines ranging from a few cm to nearly 20,000 km,                |</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | with millimetre accuracy.                                           |</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | The formulae have been extensively tested                           |</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | for the Australian region, by comparison with results               |</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | from other formulae (Rainsford, 1955 &amp; Sodano, 1965).               |</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | * Inverse problem: azimuth and distance from known                  |</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                     latitudes and longitudes                        |</tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | * Direct problem: Latitude and longitude from known                 |</tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                     position, azimuth and distance.                 |</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | * Sample data                                                       |</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | * Excel spreadsheet                                                 |</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | Vincenty's Inverse formulae                                         |</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | Given: latitude and longitude of two points                         |</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                     (phi1, lembda1 and phi2, lembda2),              |</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | Calculate: the ellipsoidal distance (s) and                         |</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># | forward and reverse azimuths between the points (alpha12, alpha21). |</tt> </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># |                                                                     |</tt> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># ---------------------------------------------------------------------- </tt> </tt>
<a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="vinc_dist"></a><div id="vinc_dist-def"><a name="L157"></a><tt class="py-lineno">157</tt> <a class="py-toggle" href="#" id="vinc_dist-toggle" onclick="return toggle('vinc_dist');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.extern.greatcircle-module.html#vinc_dist">vinc_dist</a><tt class="py-op">(</tt>  <tt class="py-param">f</tt><tt class="py-op">,</tt>  <tt class="py-param">a</tt><tt class="py-op">,</tt>  <tt class="py-param">phi1</tt><tt class="py-op">,</tt>  <tt class="py-param">lembda1</tt><tt class="py-op">,</tt>  <tt class="py-param">phi2</tt><tt class="py-op">,</tt>  <tt class="py-param">lembda2</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
</div><div id="vinc_dist-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="vinc_dist-expanded"><a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">        <tt class="py-docstring">""" </tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"><tt class="py-docstring">        Returns the distance between two geographic points on the ellipsoid</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring">        and the forward and reverse azimuths between these points.</tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring">        lats, longs and azimuths are in radians, distance in metres </tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">        Returns ( s, alpha12,  alpha21 ) as a tuple</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line"> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-name">phi2</tt> <tt class="py-op">-</tt> <tt class="py-name">phi1</tt> <tt class="py-op">)</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">1e-8</tt><tt class="py-op">)</tt> <tt class="py-keyword">and</tt> <tt class="py-op">(</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">-</tt> <tt class="py-name">lembda1</tt><tt class="py-op">)</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">1e-8</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line">          <tt class="py-keyword">return</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line">   </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line">        <tt class="py-name">two_pi</tt> <tt class="py-op">=</tt> <tt class="py-number">2.0</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-48" class="py-name"><a title="octant.ocean.depths.pi
octant.ocean.pi
octant.ocean.state.pi
octant.ocean.step3d_t.pi
octant.ocean.time.pi
octant.ocean.velocity.pi" class="py-name" href="#" onclick="return doclink('link-48', 'pi', 'link-10');">pi</a></tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line"> </tt>
<a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line">        <tt class="py-name">TanU1</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-49" class="py-name" targets="Variable octant.ocean.depths.tan=octant.ocean.depths-module.html#tan,Variable octant.ocean.state.tan=octant.ocean.state-module.html#tan,Variable octant.ocean.step3d_t.tan=octant.ocean.step3d_t-module.html#tan,Variable octant.ocean.tan=octant.ocean-module.html#tan,Variable octant.ocean.time.tan=octant.ocean.time-module.html#tan,Variable octant.ocean.velocity.tan=octant.ocean.velocity-module.html#tan"><a title="octant.ocean.depths.tan
octant.ocean.state.tan
octant.ocean.step3d_t.tan
octant.ocean.tan
octant.ocean.time.tan
octant.ocean.velocity.tan" class="py-name" href="#" onclick="return doclink('link-49', 'tan', 'link-49');">tan</a></tt><tt class="py-op">(</tt> <tt class="py-name">phi1</tt> <tt class="py-op">)</tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line">        <tt class="py-name">TanU2</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-50" class="py-name"><a title="octant.ocean.depths.tan
octant.ocean.state.tan
octant.ocean.step3d_t.tan
octant.ocean.tan
octant.ocean.time.tan
octant.ocean.velocity.tan" class="py-name" href="#" onclick="return doclink('link-50', 'tan', 'link-49');">tan</a></tt><tt class="py-op">(</tt> <tt class="py-name">phi2</tt> <tt class="py-op">)</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line">         </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line">        <tt class="py-name">U1</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan</tt><tt class="py-op">(</tt><tt class="py-name">TanU1</tt><tt class="py-op">)</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line">        <tt class="py-name">U2</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan</tt><tt class="py-op">(</tt><tt class="py-name">TanU2</tt><tt class="py-op">)</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line">        <tt class="py-name">lembda</tt> <tt class="py-op">=</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">-</tt> <tt class="py-name">lembda1</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line">        <tt class="py-name">last_lembda</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4000000.0</tt>                <tt class="py-comment"># an impossibe value</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line">        <tt class="py-name">omega</tt> <tt class="py-op">=</tt> <tt class="py-name">lembda</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line">        <tt class="py-comment"># Iterate the following equations, </tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-comment">#  until there is no significant change in lembda </tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line"><tt class="py-comment"></tt>         </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line">        <tt class="py-keyword">while</tt> <tt class="py-op">(</tt> <tt class="py-name">last_lembda</tt> <tt class="py-op">&lt;</tt> <tt class="py-op">-</tt><tt class="py-number">3000000.0</tt> <tt class="py-keyword">or</tt> <tt class="py-name">lembda</tt> <tt class="py-op">!=</tt> <tt class="py-number">0</tt> <tt class="py-keyword">and</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">last_lembda</tt> <tt class="py-op">-</tt> <tt class="py-name">lembda</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">1.0e-9</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">         </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">          <tt class="py-name">sqr_sin_sigma</tt> <tt class="py-op">=</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-51" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-51', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-52" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-52', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> \ </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">                <tt class="py-name">pow</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-53" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-53', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-54" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-54', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> \ </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">                <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-55" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-55', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt>  <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-56" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-56', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-57" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-57', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt> <tt class="py-op">)</tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line"> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">          <tt class="py-name">Sin_sigma</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-58" class="py-name"><a title="octant.ocean.depths.sqrt
octant.ocean.sqrt
octant.ocean.state.sqrt
octant.ocean.step3d_t.sqrt
octant.ocean.time.sqrt
octant.ocean.velocity.sqrt" class="py-name" href="#" onclick="return doclink('link-58', 'sqrt', 'link-5');">sqrt</a></tt><tt class="py-op">(</tt> <tt class="py-name">sqr_sin_sigma</tt> <tt class="py-op">)</tt> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">           </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">          <tt class="py-name">Cos_sigma</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-59" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-59', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-60" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-60', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-61" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-61', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-62" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-62', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-63" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-63', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt> </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line">           </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">          <tt id="link-64" class="py-name" targets="Function octant.sw.density.sigma()=octant.sw.density-module.html#sigma"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-64', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt><tt class="py-op">(</tt> <tt class="py-name">Sin_sigma</tt><tt class="py-op">,</tt> <tt class="py-name">Cos_sigma</tt> <tt class="py-op">)</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line">          <tt class="py-name">Sin_alpha</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-65" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-65', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-66" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-66', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-67" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-67', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-68" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-68', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-69" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-69', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line">          <tt id="link-70" class="py-name" targets="Function octant.sw.density.alpha()=octant.sw.density-module.html#alpha"><a title="octant.sw.density.alpha" class="py-name" href="#" onclick="return doclink('link-70', 'alpha', 'link-70');">alpha</a></tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">asin</tt><tt class="py-op">(</tt> <tt class="py-name">Sin_alpha</tt> <tt class="py-op">)</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line">           </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line">          <tt class="py-name">Cos2sigma_m</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-71" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-71', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-72" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-72', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-73" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-73', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-74" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-74', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-75" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-75', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-76" class="py-name"><a title="octant.sw.density.alpha" class="py-name" href="#" onclick="return doclink('link-76', 'alpha', 'link-70');">alpha</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line">           </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line">          <tt class="py-name">C</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">/</tt><tt class="py-number">16</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-77" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-77', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-78" class="py-name"><a title="octant.sw.density.alpha" class="py-name" href="#" onclick="return doclink('link-78', 'alpha', 'link-70');">alpha</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">4</tt> <tt class="py-op">+</tt> <tt class="py-name">f</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">4</tt> <tt class="py-op">-</tt> <tt class="py-number">3</tt> <tt class="py-op">*</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-79" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-79', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-80" class="py-name"><a title="octant.sw.density.alpha" class="py-name" href="#" onclick="return doclink('link-80', 'alpha', 'link-70');">alpha</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line">           </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line">          <tt class="py-name">last_lembda</tt> <tt class="py-op">=</tt> <tt class="py-name">lembda</tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">           </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line">          <tt class="py-name">lembda</tt> <tt class="py-op">=</tt> <tt class="py-name">omega</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">C</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">f</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-81" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-81', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-82" class="py-name"><a title="octant.sw.density.alpha" class="py-name" href="#" onclick="return doclink('link-82', 'alpha', 'link-70');">alpha</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-83" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-83', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">+</tt> <tt class="py-name">C</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-84" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-84', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-85" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-85', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> \ </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-name">Cos2sigma_m</tt> <tt class="py-op">+</tt> <tt class="py-name">C</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-86" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-86', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-87" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-87', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">+</tt> <tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">Cos2sigma_m</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line">         </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line">        <tt class="py-name">u2</tt> <tt class="py-op">=</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-88" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-88', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-89" class="py-name"><a title="octant.sw.density.alpha" class="py-name" href="#" onclick="return doclink('link-89', 'alpha', 'link-70');">alpha</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-name">a</tt><tt class="py-op">-</tt><tt class="py-name">b</tt><tt class="py-op">*</tt><tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">*</tt><tt class="py-name">b</tt><tt class="py-op">)</tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line">         </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line">        <tt class="py-name">A</tt> <tt class="py-op">=</tt> <tt class="py-number">1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">u2</tt><tt class="py-op">/</tt><tt class="py-number">16384</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">4096</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">768</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">320</tt> <tt class="py-op">-</tt> <tt class="py-number">175</tt> <tt class="py-op">*</tt> <tt class="py-name">u2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line">         </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line">        <tt class="py-name">B</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">u2</tt><tt class="py-op">/</tt><tt class="py-number">1024</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">256</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">128</tt><tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">74</tt> <tt class="py-op">-</tt> <tt class="py-number">47</tt> <tt class="py-op">*</tt> <tt class="py-name">u2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L218"></a><tt class="py-lineno">218</tt>  <tt class="py-line">         </tt>
<a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line">        <tt class="py-name">delta_sigma</tt> <tt class="py-op">=</tt> <tt class="py-name">B</tt> <tt class="py-op">*</tt> <tt class="py-name">Sin_sigma</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">Cos2sigma_m</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">B</tt><tt class="py-op">/</tt><tt class="py-number">4</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> \ </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-name">Cos_sigma</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">+</tt> <tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">Cos2sigma_m</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> <tt class="py-op">-</tt> \ </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-name">B</tt><tt class="py-op">/</tt><tt class="py-number">6</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">Cos2sigma_m</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-number">4</tt> <tt class="py-op">*</tt> <tt class="py-name">sqr_sin_sigma</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> \ </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-number">4</tt> <tt class="py-op">*</tt> <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">Cos2sigma_m</tt><tt class="py-op">,</tt><tt class="py-number">2</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line">         </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line">        <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">*</tt> <tt class="py-name">A</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-90" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-90', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">-</tt> <tt class="py-name">delta_sigma</tt><tt class="py-op">)</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line">         </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line">        <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-91" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-91', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-92" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-92', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> \ </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-93" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-93', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-94" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-94', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-95" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-95', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-96" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-96', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-97" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-97', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line">         </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line">        <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-98" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-98', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-99" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-99', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> \ </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-100" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-100', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-101" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-101', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-102" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-102', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-103" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-103', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-104" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-104', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line"> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0.0</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt>  </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line">                <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt>  <tt class="py-name">alpha12</tt> <tt class="py-op">+</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">two_pi</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt>  </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line">                <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">-</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line"> </tt>
<a name="L237"></a><tt class="py-lineno">237</tt>  <tt class="py-line">        <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">+</tt> <tt class="py-name">two_pi</tt> <tt class="py-op">/</tt> <tt class="py-number">2.0</tt> </tt>
<a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0.0</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt>  </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">                <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">+</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">two_pi</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt>  </tt>
<a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line">                <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">-</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line"> </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">s</tt><tt class="py-op">,</tt> <tt class="py-name">alpha12</tt><tt class="py-op">,</tt>  <tt class="py-name">alpha21</tt>  </tt>
</div><a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line"> </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line">   <tt class="py-comment"># END of Vincenty's Inverse formulae </tt> </tt>
<a name="L246"></a><tt class="py-lineno">246</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L247"></a><tt class="py-lineno">247</tt>  <tt class="py-line"> </tt>
<a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line"><tt class="py-comment">#----------------------------------------------------------------------------</tt> </tt>
<a name="L249"></a><tt class="py-lineno">249</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Vincenty's Direct formulae                                                |</tt> </tt>
<a name="L250"></a><tt class="py-lineno">250</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Given: latitude and longitude of a point (phi1, lembda1) and              |</tt> </tt>
<a name="L251"></a><tt class="py-lineno">251</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># the geodetic azimuth (alpha12)                                            |</tt> </tt>
<a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># and ellipsoidal distance in metres (s) to a second point,                 |</tt> </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#                                                                           |</tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Calculate: the latitude and longitude of the second point (phi2, lembda2) |</tt> </tt>
<a name="L255"></a><tt class="py-lineno">255</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># and the reverse azimuth (alpha21).                                        |</tt> </tt>
<a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#                                                                           |</tt> </tt>
<a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#----------------------------------------------------------------------------</tt> </tt>
<a name="L258"></a><tt class="py-lineno">258</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="vinc_pt"></a><div id="vinc_pt-def"><a name="L259"></a><tt class="py-lineno">259</tt> <a class="py-toggle" href="#" id="vinc_pt-toggle" onclick="return toggle('vinc_pt');">-</a><tt class="py-line"><tt class="py-keyword">def</tt>  <a class="py-def-name" href="octant.extern.greatcircle-module.html#vinc_pt">vinc_pt</a><tt class="py-op">(</tt> <tt class="py-param">f</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">phi1</tt><tt class="py-op">,</tt> <tt class="py-param">lembda1</tt><tt class="py-op">,</tt> <tt class="py-param">alpha12</tt><tt class="py-op">,</tt> <tt class="py-param">s</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
</div><div id="vinc_pt-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="vinc_pt-expanded"><a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line"><tt class="py-docstring">        Returns the lat and long of projected point and reverse azimuth</tt> </tt>
<a name="L263"></a><tt class="py-lineno">263</tt>  <tt class="py-line"><tt class="py-docstring">        given a reference point and a distance and azimuth to project.</tt> </tt>
<a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line"><tt class="py-docstring">        lats, longs and azimuths are passed in decimal degrees</tt> </tt>
<a name="L265"></a><tt class="py-lineno">265</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line"><tt class="py-docstring">        Returns ( phi2,  lambda2,  alpha21 ) as a tuple </tt> </tt>
<a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L268"></a><tt class="py-lineno">268</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line"> </tt>
<a name="L270"></a><tt class="py-lineno">270</tt>  <tt class="py-line"> </tt>
<a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line">        <tt class="py-name">two_pi</tt> <tt class="py-op">=</tt> <tt class="py-number">2.0</tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-105" class="py-name"><a title="octant.ocean.depths.pi
octant.ocean.pi
octant.ocean.state.pi
octant.ocean.step3d_t.pi
octant.ocean.time.pi
octant.ocean.velocity.pi" class="py-name" href="#" onclick="return doclink('link-105', 'pi', 'link-10');">pi</a></tt> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line"> </tt>
<a name="L273"></a><tt class="py-lineno">273</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0.0</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt>  </tt>
<a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line">                <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">+</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L275"></a><tt class="py-lineno">275</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">two_pi</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt>  </tt>
<a name="L276"></a><tt class="py-lineno">276</tt>  <tt class="py-line">                <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">-</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line"> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line">         </tt>
<a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line"> </tt>
<a name="L281"></a><tt class="py-lineno">281</tt>  <tt class="py-line">        <tt class="py-name">TanU1</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-106" class="py-name"><a title="octant.ocean.depths.tan
octant.ocean.state.tan
octant.ocean.step3d_t.tan
octant.ocean.tan
octant.ocean.time.tan
octant.ocean.velocity.tan" class="py-name" href="#" onclick="return doclink('link-106', 'tan', 'link-49');">tan</a></tt><tt class="py-op">(</tt><tt class="py-name">phi1</tt><tt class="py-op">)</tt> </tt>
<a name="L282"></a><tt class="py-lineno">282</tt>  <tt class="py-line">        <tt class="py-name">U1</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan</tt><tt class="py-op">(</tt> <tt class="py-name">TanU1</tt> <tt class="py-op">)</tt> </tt>
<a name="L283"></a><tt class="py-lineno">283</tt>  <tt class="py-line">        <tt class="py-name">sigma1</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt><tt class="py-op">(</tt> <tt class="py-name">TanU1</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-107" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-107', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line">        <tt class="py-name">Sinalpha</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-108" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-108', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-109" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-109', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line">        <tt class="py-name">cosalpha_sq</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">-</tt> <tt class="py-name">Sinalpha</tt> <tt class="py-op">*</tt> <tt class="py-name">Sinalpha</tt> </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line">         </tt>
<a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line">        <tt class="py-name">u2</tt> <tt class="py-op">=</tt> <tt class="py-name">cosalpha_sq</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">*</tt> <tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt> <tt class="py-op">*</tt> <tt class="py-name">b</tt> <tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op">*</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> </tt>
<a name="L288"></a><tt class="py-lineno">288</tt>  <tt class="py-line">        <tt class="py-name">A</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">u2</tt> <tt class="py-op">/</tt> <tt class="py-number">16384</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">4096</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">768</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> \ </tt>
<a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-number">320</tt> <tt class="py-op">-</tt> <tt class="py-number">175</tt> <tt class="py-op">*</tt> <tt class="py-name">u2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line">        <tt class="py-name">B</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">u2</tt> <tt class="py-op">/</tt> <tt class="py-number">1024</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">256</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">128</tt> <tt class="py-op">+</tt> <tt class="py-name">u2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">74</tt> <tt class="py-op">-</tt> <tt class="py-number">47</tt> <tt class="py-op">*</tt> <tt class="py-name">u2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L291"></a><tt class="py-lineno">291</tt>  <tt class="py-line">         </tt>
<a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line">        <tt class="py-comment"># Starting with the approximation</tt> </tt>
<a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt id="link-110" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-110', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">s</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op">*</tt> <tt class="py-name">A</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L294"></a><tt class="py-lineno">294</tt>  <tt class="py-line"> </tt>
<a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line">        <tt class="py-name">last_sigma</tt> <tt class="py-op">=</tt> <tt class="py-number">2.0</tt> <tt class="py-op">*</tt> <tt id="link-111" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-111', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">+</tt> <tt class="py-number">2.0</tt>  <tt class="py-comment"># something impossible</tt> </tt>
<a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line">         </tt>
<a name="L297"></a><tt class="py-lineno">297</tt>  <tt class="py-line">        <tt class="py-comment"># Iterate the following three equations </tt> </tt>
<a name="L298"></a><tt class="py-lineno">298</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-comment"># until there is no significant change in sigma </tt> </tt>
<a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line">        <tt class="py-comment"># two_sigma_m , delta_sigma</tt> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L302"></a><tt class="py-lineno">302</tt>  <tt class="py-line">        <tt class="py-keyword">while</tt> <tt class="py-op">(</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">last_sigma</tt> <tt class="py-op">-</tt> <tt id="link-112" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-112', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt id="link-113" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-113', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">1.0e-9</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
<a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line"> </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line">           <tt class="py-name">two_sigma_m</tt> <tt class="py-op">=</tt> <tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">sigma1</tt> <tt class="py-op">+</tt> <tt id="link-114" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-114', 'sigma', 'link-64');">sigma</a></tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line">            </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line">           <tt class="py-name">delta_sigma</tt> <tt class="py-op">=</tt> <tt class="py-name">B</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-115" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-115', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-116" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-116', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-117" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-117', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">two_sigma_m</tt><tt class="py-op">)</tt> \ </tt>
<a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line">                        <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">B</tt><tt class="py-op">/</tt><tt class="py-number">4</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-118" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-118', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-119" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-119', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> \ </tt>
<a name="L308"></a><tt class="py-lineno">308</tt>  <tt class="py-line">                        <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">+</tt> <tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">pow</tt><tt class="py-op">(</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-120" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-120', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">two_sigma_m</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt> <tt class="py-op">)</tt> <tt class="py-op">-</tt>  \ </tt>
<a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line">                        <tt class="py-op">(</tt><tt class="py-name">B</tt><tt class="py-op">/</tt><tt class="py-number">6</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-121" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-121', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">two_sigma_m</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> \ </tt>
<a name="L310"></a><tt class="py-lineno">310</tt>  <tt class="py-line">                        <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-number">4</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-122" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-122', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-123" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-123', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt>  \ </tt>
<a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line">                        <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">3</tt> <tt class="py-op">+</tt> <tt class="py-number">4</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">pow</tt><tt class="py-op">(</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-124" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-124', 'cos', 'link-7');">cos</a></tt> <tt class="py-op">(</tt><tt class="py-name">two_sigma_m</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> \ </tt>
<a name="L312"></a><tt class="py-lineno">312</tt>  <tt class="py-line">            </tt>
<a name="L313"></a><tt class="py-lineno">313</tt>  <tt class="py-line">           <tt class="py-name">last_sigma</tt> <tt class="py-op">=</tt> <tt id="link-125" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-125', 'sigma', 'link-64');">sigma</a></tt> </tt>
<a name="L314"></a><tt class="py-lineno">314</tt>  <tt class="py-line">           <tt id="link-126" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-126', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">s</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op">*</tt> <tt class="py-name">A</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">delta_sigma</tt> </tt>
<a name="L315"></a><tt class="py-lineno">315</tt>  <tt class="py-line">         </tt>
<a name="L316"></a><tt class="py-lineno">316</tt>  <tt class="py-line">         </tt>
<a name="L317"></a><tt class="py-lineno">317</tt>  <tt class="py-line">        <tt class="py-name">phi2</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt> <tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-127" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-127', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-128" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-128', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-129" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-129', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-130" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-130', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-131" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-131', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-132" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-132', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-133" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-133', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> \ </tt>
<a name="L318"></a><tt class="py-lineno">318</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-134" class="py-name"><a title="octant.ocean.depths.sqrt
octant.ocean.sqrt
octant.ocean.state.sqrt
octant.ocean.step3d_t.sqrt
octant.ocean.time.sqrt
octant.ocean.velocity.sqrt" class="py-name" href="#" onclick="return doclink('link-134', 'sqrt', 'link-5');">sqrt</a></tt><tt class="py-op">(</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">Sinalpha</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt>  \ </tt>
<a name="L319"></a><tt class="py-lineno">319</tt>  <tt class="py-line">                <tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-135" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-135', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-136" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-136', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-137" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-137', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-138" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-138', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-139" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-139', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-140" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-140', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-141" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-141', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L320"></a><tt class="py-lineno">320</tt>  <tt class="py-line">         </tt>
<a name="L321"></a><tt class="py-lineno">321</tt>  <tt class="py-line"> </tt>
<a name="L322"></a><tt class="py-lineno">322</tt>  <tt class="py-line">        <tt class="py-name">lembda</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-142" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-142', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-143" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-143', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-144" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-144', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-145" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-145', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-146" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-146', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-147" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-147', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">-</tt>  \ </tt>
<a name="L323"></a><tt class="py-lineno">323</tt>  <tt class="py-line">                <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-148" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-148', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt>  <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-149" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-149', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-150" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-150', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-151" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-151', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L324"></a><tt class="py-lineno">324</tt>  <tt class="py-line">         </tt>
<a name="L325"></a><tt class="py-lineno">325</tt>  <tt class="py-line">        <tt class="py-name">C</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">/</tt><tt class="py-number">16</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">cosalpha_sq</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">4</tt> <tt class="py-op">+</tt> <tt class="py-name">f</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">4</tt> <tt class="py-op">-</tt> <tt class="py-number">3</tt> <tt class="py-op">*</tt> <tt class="py-name">cosalpha_sq</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L326"></a><tt class="py-lineno">326</tt>  <tt class="py-line">         </tt>
<a name="L327"></a><tt class="py-lineno">327</tt>  <tt class="py-line">        <tt class="py-name">omega</tt> <tt class="py-op">=</tt> <tt class="py-name">lembda</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-name">C</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">f</tt> <tt class="py-op">*</tt> <tt class="py-name">Sinalpha</tt> <tt class="py-op">*</tt>  \ </tt>
<a name="L328"></a><tt class="py-lineno">328</tt>  <tt class="py-line">                <tt class="py-op">(</tt><tt id="link-152" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-152', 'sigma', 'link-64');">sigma</a></tt> <tt class="py-op">+</tt> <tt class="py-name">C</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-153" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-153', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-154" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-154', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-155" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-155', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">two_sigma_m</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> \ </tt>
<a name="L329"></a><tt class="py-lineno">329</tt>  <tt class="py-line">                <tt class="py-name">C</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-156" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-156', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-157" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-157', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt> <tt class="py-op">+</tt> <tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">pow</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-158" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-158', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">two_sigma_m</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L330"></a><tt class="py-lineno">330</tt>  <tt class="py-line">         </tt>
<a name="L331"></a><tt class="py-lineno">331</tt>  <tt class="py-line">        <tt class="py-name">lembda2</tt> <tt class="py-op">=</tt> <tt class="py-name">lembda1</tt> <tt class="py-op">+</tt> <tt class="py-name">omega</tt> </tt>
<a name="L332"></a><tt class="py-lineno">332</tt>  <tt class="py-line">         </tt>
<a name="L333"></a><tt class="py-lineno">333</tt>  <tt class="py-line">        <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">atan2</tt> <tt class="py-op">(</tt> <tt class="py-name">Sinalpha</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-159" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-159', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-160" class="py-name"><a title="octant.ocean.depths.sin
octant.ocean.sin
octant.ocean.state.sin
octant.ocean.step3d_t.sin
octant.ocean.time.sin
octant.ocean.velocity.sin" class="py-name" href="#" onclick="return doclink('link-160', 'sin', 'link-6');">sin</a></tt><tt class="py-op">(</tt><tt id="link-161" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-161', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">+</tt>  \ </tt>
<a name="L334"></a><tt class="py-lineno">334</tt>  <tt class="py-line">                <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-162" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-162', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">U1</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-163" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-163', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt id="link-164" class="py-name"><a title="octant.sw.density.sigma" class="py-name" href="#" onclick="return doclink('link-164', 'sigma', 'link-64');">sigma</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-165" class="py-name"><a title="octant.ocean.cos
octant.ocean.depths.cos
octant.ocean.state.cos
octant.ocean.step3d_t.cos
octant.ocean.time.cos
octant.ocean.velocity.cos" class="py-name" href="#" onclick="return doclink('link-165', 'cos', 'link-7');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L335"></a><tt class="py-lineno">335</tt>  <tt class="py-line"> </tt>
<a name="L336"></a><tt class="py-lineno">336</tt>  <tt class="py-line">        <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">+</tt> <tt class="py-name">two_pi</tt> <tt class="py-op">/</tt> <tt class="py-number">2.0</tt> </tt>
<a name="L337"></a><tt class="py-lineno">337</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0.0</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
<a name="L338"></a><tt class="py-lineno">338</tt>  <tt class="py-line">                <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">+</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L339"></a><tt class="py-lineno">339</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">two_pi</tt> <tt class="py-op">)</tt> <tt class="py-op">:</tt> </tt>
<a name="L340"></a><tt class="py-lineno">340</tt>  <tt class="py-line">                <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">-</tt> <tt class="py-name">two_pi</tt> </tt>
<a name="L341"></a><tt class="py-lineno">341</tt>  <tt class="py-line"> </tt>
<a name="L342"></a><tt class="py-lineno">342</tt>  <tt class="py-line"> </tt>
<a name="L343"></a><tt class="py-lineno">343</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">phi2</tt><tt class="py-op">,</tt>  <tt class="py-name">lembda2</tt><tt class="py-op">,</tt>  <tt class="py-name">alpha21</tt>  </tt>
</div><a name="L344"></a><tt class="py-lineno">344</tt>  <tt class="py-line"> </tt>
<a name="L345"></a><tt class="py-lineno">345</tt>  <tt class="py-line">   <tt class="py-comment"># END of Vincenty's Direct formulae</tt> </tt>
<a name="L346"></a><tt class="py-lineno">346</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L347"></a><tt class="py-lineno">347</tt>  <tt class="py-line"><tt class="py-comment">##---------------------------------------------------------------------------</tt> </tt>
<a name="L348"></a><tt class="py-lineno">348</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Notes: </tt> </tt>
<a name="L349"></a><tt class="py-lineno">349</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L350"></a><tt class="py-lineno">350</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># * "The inverse formulae may give no solution over a line </tt> </tt>
<a name="L351"></a><tt class="py-lineno">351</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#       between two nearly antipodal points. This will occur when </tt> </tt>
<a name="L352"></a><tt class="py-lineno">352</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#       lembda ... is greater than pi in absolute value". (Vincenty, 1975)</tt> </tt>
<a name="L353"></a><tt class="py-lineno">353</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  </tt> </tt>
<a name="L354"></a><tt class="py-lineno">354</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># * In Vincenty (1975) L is used for the difference in longitude, </tt> </tt>
<a name="L355"></a><tt class="py-lineno">355</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#       however for consistency with other formulae in this Manual, </tt> </tt>
<a name="L356"></a><tt class="py-lineno">356</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#       omega is used here. </tt> </tt>
<a name="L357"></a><tt class="py-lineno">357</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L358"></a><tt class="py-lineno">358</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># * Variables specific to Vincenty's formulae are shown below, </tt> </tt>
<a name="L359"></a><tt class="py-lineno">359</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#       others common throughout the manual are shown in the Glossary. </tt> </tt>
<a name="L360"></a><tt class="py-lineno">360</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L361"></a><tt class="py-lineno">361</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L362"></a><tt class="py-lineno">362</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># alpha = Azimuth of the geodesic at the equator</tt> </tt>
<a name="L363"></a><tt class="py-lineno">363</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># U = Reduced latitude</tt> </tt>
<a name="L364"></a><tt class="py-lineno">364</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># lembda = Difference in longitude on an auxiliary sphere (lembda1 &amp; lembda2 </tt> </tt>
<a name="L365"></a><tt class="py-lineno">365</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#               are the geodetic longitudes of points 1 &amp; 2)</tt> </tt>
<a name="L366"></a><tt class="py-lineno">366</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># sigma = Angular distance on a sphere, from point 1 to point 2</tt> </tt>
<a name="L367"></a><tt class="py-lineno">367</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># sigma1 = Angular distance on a sphere, from the equator to point 1</tt> </tt>
<a name="L368"></a><tt class="py-lineno">368</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># sigma2 = Angular distance on a sphere, from the equator to point 2</tt> </tt>
<a name="L369"></a><tt class="py-lineno">369</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># sigma_m = Angular distance on a sphere, from the equator to the </tt> </tt>
<a name="L370"></a><tt class="py-lineno">370</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#               midpoint of the line from point 1 to point 2</tt> </tt>
<a name="L371"></a><tt class="py-lineno">371</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># u, A, B, C = Internal variables</tt> </tt>
<a name="L372"></a><tt class="py-lineno">372</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L373"></a><tt class="py-lineno">373</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L374"></a><tt class="py-lineno">374</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Sample Data</tt> </tt>
<a name="L375"></a><tt class="py-lineno">375</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L376"></a><tt class="py-lineno">376</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Flinders Peak</tt> </tt>
<a name="L377"></a><tt class="py-lineno">377</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># -37o57'03.72030"</tt> </tt>
<a name="L378"></a><tt class="py-lineno">378</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># 144o25'29.52440"</tt> </tt>
<a name="L379"></a><tt class="py-lineno">379</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Buninyong</tt> </tt>
<a name="L380"></a><tt class="py-lineno">380</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># -37o39'10.15610"</tt> </tt>
<a name="L381"></a><tt class="py-lineno">381</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># 143o55'35.38390"</tt> </tt>
<a name="L382"></a><tt class="py-lineno">382</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Ellipsoidal Distance</tt> </tt>
<a name="L383"></a><tt class="py-lineno">383</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># 54,972.271 m</tt> </tt>
<a name="L384"></a><tt class="py-lineno">384</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  </tt> </tt>
<a name="L385"></a><tt class="py-lineno">385</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Forward Azimuth</tt> </tt>
<a name="L386"></a><tt class="py-lineno">386</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># 306o52'05.37"</tt> </tt>
<a name="L387"></a><tt class="py-lineno">387</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  </tt> </tt>
<a name="L388"></a><tt class="py-lineno">388</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># Reverse Azimuth</tt> </tt>
<a name="L389"></a><tt class="py-lineno">389</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># 127o10'25.07"</tt> </tt>
<a name="L390"></a><tt class="py-lineno">390</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L391"></a><tt class="py-lineno">391</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># </tt> </tt>
<a name="L392"></a><tt class="py-lineno">392</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##*******************************************************************</tt> </tt>
<a name="L393"></a><tt class="py-lineno">393</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L394"></a><tt class="py-lineno">394</tt>  <tt class="py-line"><tt class="py-comment"># Test driver</tt> </tt>
<a name="L395"></a><tt class="py-lineno">395</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L396"></a><tt class="py-lineno">396</tt>  <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt> <tt class="py-op">:</tt> </tt>
<a name="L397"></a><tt class="py-lineno">397</tt>  <tt class="py-line"> </tt>
<a name="L398"></a><tt class="py-lineno">398</tt>  <tt class="py-line">   <tt class="py-comment"># WGS84</tt> </tt>
<a name="L399"></a><tt class="py-lineno">399</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L400"></a><tt class="py-lineno">400</tt>  <tt class="py-line">   <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-number">6378137.0</tt> </tt>
<a name="L401"></a><tt class="py-lineno">401</tt>  <tt class="py-line">   <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-number">6356752.3142</tt> </tt>
<a name="L402"></a><tt class="py-lineno">402</tt>  <tt class="py-line">   <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">-</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
<a name="L403"></a><tt class="py-lineno">403</tt>  <tt class="py-line"> </tt>
<a name="L404"></a><tt class="py-lineno">404</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt>  <tt class="py-string">"\n Ellipsoidal major axis =  %12.3f metres\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">a</tt> <tt class="py-op">)</tt> </tt>
<a name="L405"></a><tt class="py-lineno">405</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt>  <tt class="py-string">"\n Inverse flattening     =  %15.9f\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-number">1.0</tt><tt class="py-op">/</tt><tt class="py-name">f</tt> <tt class="py-op">)</tt> </tt>
<a name="L406"></a><tt class="py-lineno">406</tt>  <tt class="py-line"> </tt>
<a name="L407"></a><tt class="py-lineno">407</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Test Flinders Peak to Buninyon"</tt> </tt>
<a name="L408"></a><tt class="py-lineno">408</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n ****************************** \n"</tt> </tt>
<a name="L409"></a><tt class="py-lineno">409</tt>  <tt class="py-line">   <tt class="py-name">phi1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">(</tt> <tt class="py-number">3.7203</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">57</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">37</tt> <tt class="py-op">)</tt> </tt>
<a name="L410"></a><tt class="py-lineno">410</tt>  <tt class="py-line">   <tt class="py-name">lembda1</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt> <tt class="py-number">29.5244</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">25</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">144</tt> </tt>
<a name="L411"></a><tt class="py-lineno">411</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Flinders Peak = %12.6f, %13.6f \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">phi1</tt><tt class="py-op">,</tt> <tt class="py-name">lembda1</tt> <tt class="py-op">)</tt> </tt>
<a name="L412"></a><tt class="py-lineno">412</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">phi1</tt><tt class="py-op">)</tt> </tt>
<a name="L413"></a><tt class="py-lineno">413</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">phi1</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L414"></a><tt class="py-lineno">414</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">phi1</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L415"></a><tt class="py-lineno">415</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Flinders Peak =   %3i\xF8%3i\' %6.3f\",  "</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L416"></a><tt class="py-lineno">416</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">lembda1</tt><tt class="py-op">)</tt> </tt>
<a name="L417"></a><tt class="py-lineno">417</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">lembda1</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L418"></a><tt class="py-lineno">418</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">lembda1</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L419"></a><tt class="py-lineno">419</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" %3i\xF8%3i\' %6.3f\" \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt> </tt>
<a name="L420"></a><tt class="py-lineno">420</tt>  <tt class="py-line"> </tt>
<a name="L421"></a><tt class="py-lineno">421</tt>  <tt class="py-line">   <tt class="py-name">phi2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">(</tt> <tt class="py-number">10.1561</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">39</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">37</tt> <tt class="py-op">)</tt> </tt>
<a name="L422"></a><tt class="py-lineno">422</tt>  <tt class="py-line">   <tt class="py-name">lembda2</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt> <tt class="py-number">35.3839</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">55</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">143</tt> </tt>
<a name="L423"></a><tt class="py-lineno">423</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Buninyon      = %12.6f, %13.6f \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">phi2</tt><tt class="py-op">,</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">)</tt> </tt>
<a name="L424"></a><tt class="py-lineno">424</tt>  <tt class="py-line"> </tt>
<a name="L425"></a><tt class="py-lineno">425</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">phi2</tt><tt class="py-op">)</tt> </tt>
<a name="L426"></a><tt class="py-lineno">426</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">phi2</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L427"></a><tt class="py-lineno">427</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">phi2</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L428"></a><tt class="py-lineno">428</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Buninyon      =   %3i\xF8%3i\' %6.3f\",  "</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L429"></a><tt class="py-lineno">429</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">lembda2</tt><tt class="py-op">)</tt> </tt>
<a name="L430"></a><tt class="py-lineno">430</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L431"></a><tt class="py-lineno">431</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">lembda2</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L432"></a><tt class="py-lineno">432</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" %3i\xF8%3i\' %6.3f\" \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt> </tt>
<a name="L433"></a><tt class="py-lineno">433</tt>  <tt class="py-line"> </tt>
<a name="L434"></a><tt class="py-lineno">434</tt>  <tt class="py-line">   <tt class="py-name">dist</tt><tt class="py-op">,</tt> <tt class="py-name">alpha12</tt><tt class="py-op">,</tt> <tt class="py-name">alpha21</tt>   <tt class="py-op">=</tt> <tt id="link-166" class="py-name"><a title="octant.extern.greatcircle.vinc_dist" class="py-name" href="#" onclick="return doclink('link-166', 'vinc_dist', 'link-4');">vinc_dist</a></tt>  <tt class="py-op">(</tt> <tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-167" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-167', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">phi1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-168" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-168', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-169" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-169', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">phi2</tt><tt class="py-op">)</tt><tt class="py-op">,</tt>  <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-170" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-170', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda2</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L435"></a><tt class="py-lineno">435</tt>  <tt class="py-line"> </tt>
<a name="L436"></a><tt class="py-lineno">436</tt>  <tt class="py-line">   <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-171" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-171', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt> </tt>
<a name="L437"></a><tt class="py-lineno">437</tt>  <tt class="py-line">   <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-172" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-172', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha21</tt><tt class="py-op">)</tt> </tt>
<a name="L438"></a><tt class="py-lineno">438</tt>  <tt class="py-line"> </tt>
<a name="L439"></a><tt class="py-lineno">439</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Ellipsoidal Distance = %15.3f metres\n            should be         54972.271 m\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">dist</tt> <tt class="py-op">)</tt> </tt>
<a name="L440"></a><tt class="py-lineno">440</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Forward and back azimuths = %15.6f, %15.6f \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha12</tt><tt class="py-op">,</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">)</tt> </tt>
<a name="L441"></a><tt class="py-lineno">441</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt> </tt>
<a name="L442"></a><tt class="py-lineno">442</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt><tt class="py-name">int</tt><tt class="py-op">(</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-op">(</tt> <tt class="py-name">alpha12</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L443"></a><tt class="py-lineno">443</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L444"></a><tt class="py-lineno">444</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Forward azimuth = %3i\xF8%3i\' %6.3f\"\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt> </tt>
<a name="L445"></a><tt class="py-lineno">445</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">alpha21</tt><tt class="py-op">)</tt> </tt>
<a name="L446"></a><tt class="py-lineno">446</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L447"></a><tt class="py-lineno">447</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">alpha21</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L448"></a><tt class="py-lineno">448</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Reverse azimuth = %3i\xF8%3i\' %6.3f\"\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt> </tt>
<a name="L449"></a><tt class="py-lineno">449</tt>  <tt class="py-line"> </tt>
<a name="L450"></a><tt class="py-lineno">450</tt>  <tt class="py-line"> </tt>
<a name="L451"></a><tt class="py-lineno">451</tt>  <tt class="py-line">   <tt class="py-comment"># Test the direct function */</tt> </tt>
<a name="L452"></a><tt class="py-lineno">452</tt>  <tt class="py-line"><tt class="py-comment"></tt>   <tt class="py-name">phi1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">(</tt> <tt class="py-number">3.7203</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">57</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">37</tt> <tt class="py-op">)</tt> </tt>
<a name="L453"></a><tt class="py-lineno">453</tt>  <tt class="py-line">   <tt class="py-name">lembda1</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt> <tt class="py-number">29.5244</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">25</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">144</tt> </tt>
<a name="L454"></a><tt class="py-lineno">454</tt>  <tt class="py-line">   <tt class="py-name">dist</tt> <tt class="py-op">=</tt> <tt class="py-number">54972.271</tt> </tt>
<a name="L455"></a><tt class="py-lineno">455</tt>  <tt class="py-line">   <tt class="py-name">alpha12</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt> <tt class="py-number">5.37</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">52</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">60.</tt> <tt class="py-op">+</tt> <tt class="py-number">306</tt> </tt>
<a name="L456"></a><tt class="py-lineno">456</tt>  <tt class="py-line">   <tt class="py-name">phi2</tt> <tt class="py-op">=</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L457"></a><tt class="py-lineno">457</tt>  <tt class="py-line">   <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L458"></a><tt class="py-lineno">458</tt>  <tt class="py-line"> </tt>
<a name="L459"></a><tt class="py-lineno">459</tt>  <tt class="py-line">   <tt class="py-name">phi2</tt><tt class="py-op">,</tt> <tt class="py-name">lembda2</tt><tt class="py-op">,</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt id="link-173" class="py-name"><a title="octant.extern.greatcircle.vinc_pt" class="py-name" href="#" onclick="return doclink('link-173', 'vinc_pt', 'link-42');">vinc_pt</a></tt> <tt class="py-op">(</tt>  <tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-174" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-174', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">phi1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-175" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-175', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-176" class="py-name"><a title="octant.ocean.depths.radians
octant.ocean.radians
octant.ocean.state.radians
octant.ocean.step3d_t.radians
octant.ocean.time.radians
octant.ocean.velocity.radians" class="py-name" href="#" onclick="return doclink('link-176', 'radians', 'link-0');">radians</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha12</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">dist</tt> <tt class="py-op">)</tt> </tt>
<a name="L460"></a><tt class="py-lineno">460</tt>  <tt class="py-line"> </tt>
<a name="L461"></a><tt class="py-lineno">461</tt>  <tt class="py-line">   <tt class="py-name">phi2</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-177" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-177', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">phi2</tt><tt class="py-op">)</tt> </tt>
<a name="L462"></a><tt class="py-lineno">462</tt>  <tt class="py-line">   <tt class="py-name">lembda2</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-178" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-178', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">lembda2</tt><tt class="py-op">)</tt> </tt>
<a name="L463"></a><tt class="py-lineno">463</tt>  <tt class="py-line">   <tt class="py-name">alpha21</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-179" class="py-name"><a title="octant.ocean.degrees
octant.ocean.depths.degrees
octant.ocean.state.degrees
octant.ocean.step3d_t.degrees
octant.ocean.time.degrees
octant.ocean.velocity.degrees" class="py-name" href="#" onclick="return doclink('link-179', 'degrees', 'link-11');">degrees</a></tt><tt class="py-op">(</tt><tt class="py-name">alpha21</tt><tt class="py-op">)</tt> </tt>
<a name="L464"></a><tt class="py-lineno">464</tt>  <tt class="py-line"> </tt>
<a name="L465"></a><tt class="py-lineno">465</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Projected point =%11.6f, %13.6f \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">phi2</tt><tt class="py-op">,</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">)</tt> </tt>
<a name="L466"></a><tt class="py-lineno">466</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">phi2</tt><tt class="py-op">)</tt> </tt>
<a name="L467"></a><tt class="py-lineno">467</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">phi2</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L468"></a><tt class="py-lineno">468</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-name">phi2</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L469"></a><tt class="py-lineno">469</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Projected Point = %3i\xF8%3i\' %6.3f\", "</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L470"></a><tt class="py-lineno">470</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">lembda2</tt><tt class="py-op">)</tt> </tt>
<a name="L471"></a><tt class="py-lineno">471</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">lembda2</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L472"></a><tt class="py-lineno">472</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">lembda2</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L473"></a><tt class="py-lineno">473</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"  %3i\xF8%3i\' %6.3f\"\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt> </tt>
<a name="L474"></a><tt class="py-lineno">474</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Should be Buninyon \n"</tt>  </tt>
<a name="L475"></a><tt class="py-lineno">475</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">"\n Reverse azimuth = %10.6f \n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">)</tt> </tt>
<a name="L476"></a><tt class="py-lineno">476</tt>  <tt class="py-line">   <tt class="py-name">deg</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">alpha21</tt><tt class="py-op">)</tt> </tt>
<a name="L477"></a><tt class="py-lineno">477</tt>  <tt class="py-line">   <tt class="py-name">minn</tt> <tt class="py-op">=</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt> <tt class="py-op">(</tt> <tt class="py-name">alpha21</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-number">60.0</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L478"></a><tt class="py-lineno">478</tt>  <tt class="py-line">   <tt class="py-name">sec</tt> <tt class="py-op">=</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">alpha21</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt> <tt class="py-op">-</tt> <tt class="py-name">deg</tt> <tt class="py-op">*</tt> <tt class="py-number">3600</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">minn</tt> <tt class="py-op">*</tt> <tt class="py-number">60</tt> </tt>
<a name="L479"></a><tt class="py-lineno">479</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">" Reverse azimuth = %3i\xF8%3i\' %6.3f\"\n\n"</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt> <tt class="py-name">deg</tt><tt class="py-op">,</tt> <tt class="py-name">minn</tt><tt class="py-op">,</tt> <tt class="py-name">sec</tt> <tt class="py-op">)</tt> </tt>
<a name="L480"></a><tt class="py-lineno">480</tt>  <tt class="py-line"> </tt>
<a name="L481"></a><tt class="py-lineno">481</tt>  <tt class="py-line">   <tt class="py-comment"># lat/lon of New York</tt> </tt>
<a name="L482"></a><tt class="py-lineno">482</tt>  <tt class="py-line"><tt class="py-comment"></tt>   <tt class="py-name">lat1</tt> <tt class="py-op">=</tt> <tt class="py-number">40.78</tt> </tt>
<a name="L483"></a><tt class="py-lineno">483</tt>  <tt class="py-line">   <tt class="py-name">lon1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">73.98</tt> </tt>
<a name="L484"></a><tt class="py-lineno">484</tt>  <tt class="py-line">   <tt class="py-comment"># lat/lon of London.</tt> </tt>
<a name="L485"></a><tt class="py-lineno">485</tt>  <tt class="py-line"><tt class="py-comment"></tt>   <tt class="py-name">lat2</tt> <tt class="py-op">=</tt> <tt class="py-number">51.53</tt> </tt>
<a name="L486"></a><tt class="py-lineno">486</tt>  <tt class="py-line">   <tt class="py-name">lon2</tt> <tt class="py-op">=</tt> <tt class="py-number">0.08</tt> </tt>
<a name="L487"></a><tt class="py-lineno">487</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">'New York to London:'</tt> </tt>
<a name="L488"></a><tt class="py-lineno">488</tt>  <tt class="py-line">   <tt class="py-name">gc</tt> <tt class="py-op">=</tt> <tt id="link-180" class="py-name" targets="Class octant.extern.greatcircle.GreatCircle=octant.extern.greatcircle.GreatCircle-class.html"><a title="octant.extern.greatcircle.GreatCircle" class="py-name" href="#" onclick="return doclink('link-180', 'GreatCircle', 'link-180');">GreatCircle</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">a</tt><tt class="py-op">+</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">3.</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">a</tt><tt class="py-op">+</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-number">3.</tt><tt class="py-op">,</tt><tt class="py-name">lon1</tt><tt class="py-op">,</tt><tt class="py-name">lat1</tt><tt class="py-op">,</tt><tt class="py-name">lon2</tt><tt class="py-op">,</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt> </tt>
<a name="L489"></a><tt class="py-lineno">489</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">'geodesic distance using a sphere with WGS84 mean radius = '</tt><tt class="py-op">,</tt><tt class="py-name">gc</tt><tt class="py-op">.</tt><tt class="py-name">distance</tt> </tt>
<a name="L490"></a><tt class="py-lineno">490</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">'lon/lat for 10 equally spaced points along geodesic:'</tt> </tt>
<a name="L491"></a><tt class="py-lineno">491</tt>  <tt class="py-line">   <tt class="py-name">lons</tt><tt class="py-op">,</tt><tt class="py-name">lats</tt> <tt class="py-op">=</tt> <tt class="py-name">gc</tt><tt class="py-op">.</tt><tt id="link-181" class="py-name" targets="Method octant.extern.greatcircle.GreatCircle.points()=octant.extern.greatcircle.GreatCircle-class.html#points"><a title="octant.extern.greatcircle.GreatCircle.points" class="py-name" href="#" onclick="return doclink('link-181', 'points', 'link-181');">points</a></tt><tt class="py-op">(</tt><tt class="py-number">10</tt><tt class="py-op">)</tt> </tt>
<a name="L492"></a><tt class="py-lineno">492</tt>  <tt class="py-line">   <tt class="py-keyword">for</tt> <tt id="link-182" class="py-name" targets="Variable octant.grid.CGrid_geo.lon=octant.grid.CGrid_geo-class.html#lon"><a title="octant.grid.CGrid_geo.lon" class="py-name" href="#" onclick="return doclink('link-182', 'lon', 'link-182');">lon</a></tt><tt class="py-op">,</tt><tt id="link-183" class="py-name" targets="Variable octant.grid.CGrid_geo.lat=octant.grid.CGrid_geo-class.html#lat"><a title="octant.grid.CGrid_geo.lat" class="py-name" href="#" onclick="return doclink('link-183', 'lat', 'link-183');">lat</a></tt> <tt class="py-keyword">in</tt> <tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">lons</tt><tt class="py-op">,</tt><tt class="py-name">lats</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L493"></a><tt class="py-lineno">493</tt>  <tt class="py-line">       <tt class="py-keyword">print</tt> <tt id="link-184" class="py-name"><a title="octant.grid.CGrid_geo.lon" class="py-name" href="#" onclick="return doclink('link-184', 'lon', 'link-182');">lon</a></tt><tt class="py-op">,</tt><tt id="link-185" class="py-name"><a title="octant.grid.CGrid_geo.lat" class="py-name" href="#" onclick="return doclink('link-185', 'lat', 'link-183');">lat</a></tt> </tt>
<a name="L494"></a><tt class="py-lineno">494</tt>  <tt class="py-line">   <tt class="py-name">gc</tt> <tt class="py-op">=</tt> <tt id="link-186" class="py-name"><a title="octant.extern.greatcircle.GreatCircle" class="py-name" href="#" onclick="return doclink('link-186', 'GreatCircle', 'link-180');">GreatCircle</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt><tt class="py-name">b</tt><tt class="py-op">,</tt><tt class="py-name">lon1</tt><tt class="py-op">,</tt><tt class="py-name">lat1</tt><tt class="py-op">,</tt><tt class="py-name">lon2</tt><tt class="py-op">,</tt><tt class="py-name">lat2</tt><tt class="py-op">)</tt> </tt>
<a name="L495"></a><tt class="py-lineno">495</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">'geodesic distance using WGS84 ellipsoid = '</tt><tt class="py-op">,</tt><tt class="py-name">gc</tt><tt class="py-op">.</tt><tt class="py-name">distance</tt> </tt>
<a name="L496"></a><tt class="py-lineno">496</tt>  <tt class="py-line">   <tt class="py-keyword">print</tt> <tt class="py-string">'lon/lat for 10 equally spaced points along geodesic:'</tt> </tt>
<a name="L497"></a><tt class="py-lineno">497</tt>  <tt class="py-line">   <tt class="py-name">lons</tt><tt class="py-op">,</tt><tt class="py-name">lats</tt> <tt class="py-op">=</tt> <tt class="py-name">gc</tt><tt class="py-op">.</tt><tt id="link-187" class="py-name"><a title="octant.extern.greatcircle.GreatCircle.points" class="py-name" href="#" onclick="return doclink('link-187', 'points', 'link-181');">points</a></tt><tt class="py-op">(</tt><tt class="py-number">10</tt><tt class="py-op">)</tt> </tt>
<a name="L498"></a><tt class="py-lineno">498</tt>  <tt class="py-line">   <tt class="py-keyword">for</tt> <tt id="link-188" class="py-name"><a title="octant.grid.CGrid_geo.lon" class="py-name" href="#" onclick="return doclink('link-188', 'lon', 'link-182');">lon</a></tt><tt class="py-op">,</tt><tt id="link-189" class="py-name"><a title="octant.grid.CGrid_geo.lat" class="py-name" href="#" onclick="return doclink('link-189', 'lat', 'link-183');">lat</a></tt> <tt class="py-keyword">in</tt> <tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">lons</tt><tt class="py-op">,</tt><tt class="py-name">lats</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L499"></a><tt class="py-lineno">499</tt>  <tt class="py-line">       <tt class="py-keyword">print</tt> <tt id="link-190" class="py-name"><a title="octant.grid.CGrid_geo.lon" class="py-name" href="#" onclick="return doclink('link-190', 'lon', 'link-182');">lon</a></tt><tt class="py-op">,</tt><tt id="link-191" class="py-name"><a title="octant.grid.CGrid_geo.lat" class="py-name" href="#" onclick="return doclink('link-191', 'lat', 'link-183');">lat</a></tt> </tt>
<a name="L500"></a><tt class="py-lineno">500</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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